His comments are seen as a shot across the bows of ministers, such as foreign secretary Boris Johnson, who reportedly might quit if Theresa May gives too much ground to those wanting a closer Brexit deal with the EU.
May will meet senior ministers at her country residence Chequers on Friday to resolve some of their differences over Brexit and to agree the contents of a so-called white paper policy document.
"I don't think so, no", Gove told the BBC in an interview when asked if any ministers will be resigning. "We should listen to what business is telling us and make sure we deliver a Brexit that delivers the needs of business".More news: Alleged sexual abuse victim sends emails to Ohio Rep
Mr Leslie said: "It's getting completely ridiculous now". Health secretary Jeremy Hunt responded by calling Airbus's warning "completely inappropriate", while Boris Johnson, the Brexit-supporting foreign secretary, was cited in the United Kingdom media as saying "f*** business".
With Mrs May heading to the Netherlands on Tuesday for talks with Dutch prime minister Mark Rutte, Lord Hague was scathing about the way that the Cabinet infighting was playing into the hands of the European Union in the Brexittalks.
A major British business group warned Tuesday that companies need answers over The United Kingdom's post-Brexit relations with the European Union, as UK Prime Minister Theresa May tried to unite her feuding government around a common vision for future trade with the bloc.
More than 30 have signed a letter to Mrs May urging her to face down people trying to "undermine" the 2016 vote to leave the EU, demanding clarity for voters and businesses that include not replicating the EU's customs union and an end to the free movement of EU citizens.More news: Kim, Xi Said to Agree US Troops Should Leave South Korea
But it is vital that Cabinet ministers do not fall into the trap of believing that what. We have given time, expertise and real-world experience to support hard-pressed civil service negotiators.
Writing in the Daily Telegraph, Lord Hague said any minister who chose the Chequers summit as the moment to resign would show they were not fit to hold high office in the first place.
"A vote of no confidence in the leadership called on this issue would in all probability rally the sensible middle to the Prime Minister".
"We should be offering the European Union reciprocal free trade with zero tariffs, and if they won't accept that then we go to World Trade (organisation) arrangements which tiny little countries like the United States, China, India struggle to trade under", he said on BBC's Daily Politics. She said that any deal needed to protect businesses, jobs and the economy, adding: "Otherwise we will not be thanked for the mess that we end up in."Mrs May responded saying that she was working for a Brexit deal that would ensure prosperity for our economy going into the future".More news: Bron: James agrees to 4-year contract with Lakers
"Will we come together and stand together as a party, as a government and as a country?".